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About the "3 theories of Time Travel"

It depends on the nature of the verse itself.

DBZ has alternate timeline theory

Others have dynamic timelines
 
Not quite.

Bayonetta's timetravel is dynamic I believe, while DBZ time travel follows alternate timeline theory

If for example, Bayonetta was to go back in time and kill child Goku during their fight, she would not kill the present Goku, instead she would create an alternate timeline where Goku had died. Due to the nature of her time travel though, she would return to the timeline she originally came from - where the original Goku was still alive and well.

If a DBZ character was to travel back in time and kill another DBZ character, upon returning to the present, they would actually be returning to a new timeline where the dead charater no longer exists. I don't know if this would qualify as a win. It might even qualify as the time traveller BFRing themselves

If a Bayonetta character was to go back in time and kill a Bayonetta character, the present would be one where the killed character was actually killed in the past.

Generally we work by dynamic time travel theory unless alternate timeline is an established point of one universe

And of course, acausal beings don't care
 
That's interesting. I also believe that Game Solaris is possibly 2-A and here's why:

Solaris was going to consume all timelines. And by blowing out his candle, he ceased to exist & '06 was retconned. However, the supposed retconned '06 Iblis showed up again in Sonic Generations, wrecking Crisis City. This proves Iblis and Mephiles to be acasual—by surviving their timeline's reset. And by doing this, they continuously repeat '06's events infinitely, & thus, creating a paradox where the events of '06 infinitely repeat, & infinitely reset. However, a reset works one of three ways: it could create a new timeline alongside the old, it could erase the old timeline and replace it with a new one, or it could reset the existing timeline to an earlier period. Because we get no info on how the reset works, we don't know what happens. However, it could create a paradoxal event that infinitely occurs & creates a new timeline each time. If so, that qualifies for 2-A.

Up to you if you want to believe it or not.
 
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